Exact diagonalization of the Hubbard model on graphics processing units

Details Exact diagonalization of the Hubbard model on graphics processing units Exact diagonalization of the Hubbard model on graphics processing units

2012-04-16

arxiv.org/abs/1204.3425v1

Physics

Computational Physics

Scientific paper

We solve the Hubbard model with the exact diagonalization method on a graphics processing unit (GPU). We benchmark our GPU program against a sequential CPU code by using the Lanczos algorithm to solve the ground state energy in two cases: a one-dimensional ring and a two-dimensional square lattice. In the one-dimensional case, we obtain speedups of over 100 and 60 in single and double precision arithmetic, respectively. In the two-dimensional case, the corresponding speedups are over 110 and 70.

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